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40512431415552 = 283672812801857
BaseRepresentation
bin10010011011000100010010…
…00101010110000100000000
312022102221200000001001210020
421031202021011112010000
520302223424420244202
6222055053135533440
711350632550154205
oct1115421105260400
9168387600031706
1040512431415552
11119aa253417018
1246636b738a280
13197b3c906aa15
14a00b5273bcac
154a3c4bddc5bc
hex24d889156100

40512431415552 has 144 divisors (see below), whose sum is σ = 109820908892352. Its totient is φ = 13255244513280.

The previous prime is 40512431415527. The next prime is 40512431415553. The reversal of 40512431415552 is 25551413421504.

It is not an unprimeable number, because it can be changed into a prime (40512431415553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13058208 + ... + 15860064.

Almost surely, 240512431415552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40512431415552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54910454446176).

40512431415552 is an abundant number, since it is smaller than the sum of its proper divisors (69308477476800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40512431415552 is a wasteful number, since it uses less digits than its factorization.

40512431415552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802224 (or 2802210 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 40512431415552 in words is "forty trillion, five hundred twelve billion, four hundred thirty-one million, four hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 281 384 402 536 562 768 804 843 1072 1124 1608 1686 2144 2248 3216 3372 4288 4496 6432 6744 8576 8992 12864 13488 17152 17984 18827 25728 26976 35968 37654 51456 53952 56481 71936 75308 107904 112962 150616 215808 225924 301232 451848 602464 903696 1204928 1807392 2409856 2801857 3614784 4819712 5603714 7229568 8405571 11207428 14459136 16811142 22414856 33622284 44829712 67244568 89659424 134489136 179318848 187724419 268978272 358637696 375448838 537956544 563173257 717275392 750897676 787321817 1075913088 1126346514 1501795352 1574643634 2151826176 2252693028 2361965451 3003590704 3149287268 4505386056 4723930902 6007181408 6298574536 9010772112 9447861804 12014362816 12597149072 18021544224 18895723608 24028725632 25194298144 36043088448 37791447216 48057451264 50388596288 52750561739 72086176896 75582894432 100777192576 105501123478 144172353792 151165788864 158251685217 201554385152 211002246956 302331577728 316503370434 422004493912 604663155456 633006740868 844008987824 1266013481736 1688017975648 2532026963472 3376035951296 5064053926944 6752071902592 10128107853888 13504143805184 20256215707776 40512431415552